A stable non-iterative reconstruction algorithm for the acoustic inverse boundary value problem | Zendy

Tianyu Yang | Zendy; Yang Yang | Zendy

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A stable non-iterative reconstruction algorithm for the acoustic inverse boundary value problem

Author(s) -

Tianyu Yang,

Yang Yang

Publication year - 2021

Publication title -

inverse problems and imaging

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.755

H-Index - 40

eISSN - 1930-8345

pISSN - 1930-8337

DOI - 10.3934/ipi.2021038

Subject(s) - algorithm , computation , convergence (economics) , computer science , boundary (topology) , dirichlet boundary condition , boundary value problem , iterative method , variable (mathematics) , constant (computer programming) , inverse problem , isotropy , inverse , noise (video) , mathematics , mathematical analysis , geometry , image (mathematics) , artificial intelligence , programming language , physics , quantum mechanics , economics , economic growth

We present a non-iterative algorithm to reconstruct the isotropic acoustic wave speed from the measurement of the Neumann-to-Dirichlet map. The algorithm is designed based on the boundary control method and involves only computations that are stable. We prove the convergence of the algorithm and present its numerical implementation. The effectiveness of the algorithm is validated on both constant speed and variable speed, with full and partial boundary measurement as well as different levels of noise.

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